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12. Sederhanakanlah. b. cos 12 5 ∘ + cos 5 5 ∘

12. Sederhanakanlah.

b.  

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P. Tessalonika

Master Teacher

Mahasiswa/Alumni Universitas Negeri Medan

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.

 table attributes columnalign right center left columnspacing 0px end attributes row blank blank cos end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 125 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank degree end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cos end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 55 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank degree end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 0 end table.

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Pembahasan

Ingat rumus identitas penjumlahan cosinus berikut: Dari soal diketahui: x = y = Sehingga persamaan trigonometri tersebut menjadi: Dengan demikian, .

Ingat rumus identitas penjumlahan cosinus berikut:

cos space x plus cos space y equals 2 space cos space 1 half open parentheses x plus y close parentheses space cos space 1 half open parentheses x minus y close parentheses 

Dari soal diketahui:

x125 degree 

y = 55 degree 

Sehingga persamaan trigonometri tersebut menjadi:

begin mathsize 12px style table attributes columnalign right center left columnspacing 0px end attributes row cell cos space 125 degree plus cos space 55 degree end cell equals cell 2 space cos space 1 half open parentheses 125 degree plus 55 degree close parentheses space cos space 1 half open parentheses 125 degree minus 55 degree close parentheses end cell row blank equals cell 2 space cos space 1 half open parentheses 180 degree close parentheses space cos space 1 half open parentheses 70 degree close parentheses end cell row blank equals cell 2 space cos space 90 degree space cos space 35 degree end cell row blank equals cell 2 open parentheses 0 close parentheses open parentheses cos space 35 degree close parentheses end cell row blank equals 0 end table end style 

Dengan demikian, table attributes columnalign right center left columnspacing 0px end attributes row blank blank cos end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 125 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank degree end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cos end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 55 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank degree end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 0 end table.

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